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Finding the Fourth Proportional to 1,716.44, 2,571.17 and 1,278.15

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Solution

The fourth proportional to 1,716.44, 2,571.17 and 1,278.15 is: 1,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.44 : 2,571.17 = 1,278.15 : x
  2. Step 2: Convert to fraction form
    1,716.44/2,571.17 = 1,278.15/x
  3. Step 3: Cross multiply
    1,716.44x = 2,571.17 × 1,278.15
  4. Step 4: Simplify right side
    1,716.44x = 3,286,334.54
  5. Step 5: Solve for x
    x = 3,286,334.54/1,716.44
  6. Step 6: Final answer
    x = 1,914.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.